Recursion: Fibonacci Numbers
Problem Statement :
The Fibonacci Sequence The Fibonacci sequence appears in nature all around us, in the arrangement of seeds in a sunflower and the spiral of a nautilus for example. The Fibonacci sequence begins with fibonacci(0) = 0 and fibonnaci(1) = 1 as its first and second terms. After these first two elements, each subsequent element is equal to the sum of the previous two elements. Programmatically: fibonacci(0) = 0 fibonacci(1) = 1 fibonacci(n) = fibonacci( n - 1 ) + fibonacci( n - 2 ) Function Description Complete the recursive function fibonacci in the editor below. fibonacci has the following parameter(s): int n: the index of the sequence to return Returns - int: the nth element in the Fibonacci sequence Input Format The integer n. Constraints 0 <= n <= 30
Solution :
Solution in C :
In C :
if(n == 0)
return 0;
else if(n == 1)
return 1;
else
return fibonacci(n-1)+fibonacci(n-2);
Solution in C++ :
In C ++ :
// Complete the function.
if(n==0)
return 0;
else if(n==1)
return 1;
else
return (fibonacci(n-1)+fibonacci(n-2));
Solution in Java :
In Java :
// Complete the function.
if(n == 0) return 0;
if(n == 1) return 1;
return fibonacci(n - 1) + fibonacci(n - 2);
Solution in Python :
In Python3 :
cache = {0:0, 1:1}
def fibonacci(n):
try:
return cache[n]
except KeyError:
cache[n] = fibonacci(n - 1) + fibonacci(n - 2)
return cache[n]
n = int(input())
print(fibonacci(n))
View More Similar Problems
Direct Connections
Enter-View ( EV ) is a linear, street-like country. By linear, we mean all the cities of the country are placed on a single straight line - the x -axis. Thus every city's position can be defined by a single coordinate, xi, the distance from the left borderline of the country. You can treat all cities as single points. Unfortunately, the dictator of telecommunication of EV (Mr. S. Treat Jr.) do
View Solution →Subsequence Weighting
A subsequence of a sequence is a sequence which is obtained by deleting zero or more elements from the sequence. You are given a sequence A in which every element is a pair of integers i.e A = [(a1, w1), (a2, w2),..., (aN, wN)]. For a subseqence B = [(b1, v1), (b2, v2), ...., (bM, vM)] of the given sequence : We call it increasing if for every i (1 <= i < M ) , bi < bi+1. Weight(B) =
View Solution →Kindergarten Adventures
Meera teaches a class of n students, and every day in her classroom is an adventure. Today is drawing day! The students are sitting around a round table, and they are numbered from 1 to n in the clockwise direction. This means that the students are numbered 1, 2, 3, . . . , n-1, n, and students 1 and n are sitting next to each other. After letting the students draw for a certain period of ti
View Solution →Mr. X and His Shots
A cricket match is going to be held. The field is represented by a 1D plane. A cricketer, Mr. X has N favorite shots. Each shot has a particular range. The range of the ith shot is from Ai to Bi. That means his favorite shot can be anywhere in this range. Each player on the opposite team can field only in a particular range. Player i can field from Ci to Di. You are given the N favorite shots of M
View Solution →Jim and the Skyscrapers
Jim has invented a new flying object called HZ42. HZ42 is like a broom and can only fly horizontally, independent of the environment. One day, Jim started his flight from Dubai's highest skyscraper, traveled some distance and landed on another skyscraper of same height! So much fun! But unfortunately, new skyscrapers have been built recently. Let us describe the problem in one dimensional space
View Solution →Palindromic Subsets
Consider a lowercase English alphabetic letter character denoted by c. A shift operation on some c turns it into the next letter in the alphabet. For example, and ,shift(a) = b , shift(e) = f, shift(z) = a . Given a zero-indexed string, s, of n lowercase letters, perform q queries on s where each query takes one of the following two forms: 1 i j t: All letters in the inclusive range from i t
View Solution →